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SpyIntel [72]
3 years ago
10

(a + b)² = a² + 2ab + b2 with step by step explanation​

Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

Step-by-step explanation:

Given: (a+b)²

To prove: (a+b)² = a² + 2ab + b²

Proof:-

(a+b)² = (a+b)(a+b)

(a+b)²=a(a+b)+b(a+b)

(a+b)² = a²+ab+ab+b²

(a+b)² = a²+2ab+b².

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the total cost of a bus ride and a ferry ride is $8.00. in one month, bus fare will increase by 10% and ferry fare will increase
ipn [44]
The bus fare is x, and the ferry fare is y.

x + y = 8

The bus fare will increase by 10% and the ferry fare will increase by 25%.

1.1x + 1.25y = 9.25

Multiply the first equation by -1.1:

-1.1x - 1.1y = -8.8

Add this to the original second equation.

0.15y = 0.45

y = 3

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x + 3 = 8

x = 5

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3 years ago
Find the area of this rhombus
Vikentia [17]
<h2>Hello!</h2>

The answer is:

The area of the rhombus is equal to 64 squared inches.

area=64in^{2}

<h2>Why?</h2>

Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:

area=\frac{diagonal_{1}*diagonal_{2}}{2}

From the image we can see that:

diagonal_{1}=8in+8in=16in

diagonal_{2}=4in+4in=8in

So, substituting, we have:

area=\frac{16in*8in}{2}=\frac{128in^{2} }{2}=64in^{2}

Hence, we have that the area of the rhombus is equal to 64 square inches.

Have a nice day!

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kvv77 [185]

Answer:

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Step-by-step explanation:

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